THe article \"analysis of Reserve and Regular Bottlings: Why pay fora difference

Question

THe article "analysis of Reserve and Regular Bottlings: Why pay fora difference only the critics claim to notice?" reported on anexperiment to investigate whether wine tasters could distinguishbetween more expensive reserve wines and their regularcounterparts. Wine was presented to tasters in four containerslabeled A, B, C, and D with two of these containing the reservewine and the other two the regular wine. Each taster randomlyselected three of the containers, tasted the selected wine, andindicated which of the three he/she believed was different from theother two. Of the n= 855 tasting trials, 346 resulted in correctdistinctions (either the one reserve that differed from the tworegular wines or the one regular wine that differed from the tworeserves). Does this provide compelling evidence for concluding that tasters of this type have some ability to distinguish betweenreserve and regular wines? State and test the reevant hypothesesusing the P-value approach. Are you particularly impressed with the ability of tasters to distinguish between the two types of wine?

I know the answer is to Reject Ho. Someone had previously answered this question but said to accept Ho, so would appreciate help on getting the right answer.

Explanation / Answer

binomial distribution called x with n=855, q=.5, p=.5.=np=855(.5)=427.5, =[855(.5)(.5)]=14.6 Let ybe a normal approximation to x with same mean andvariance. Ho :=346 too big or too smallwould p=P(y>346)=P((y-)/>(346-427.5)/14.6)=P(z>-5.582)very close to zero Accept Ho

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